Categories

Sunday, March 4, 2012

Spain portfolio recommendation (from 5, March 2012)

The portfolio recommendation is based on two low-volatility strategies: a long-only minimum-variance portfolio and a “130:30” minimum-variance portfolio, which is long 130% and short 30%.

These strategies use advanced Optimization and Statistics techniques to hedge against the estimation risk of the associated models. As a result, they attain consistently better risk-adjusted returns than market indexes, as these portfolio recommendations show.

The long-only and the 130:30 low-volatility portfolios recommended for this week, with their corresponding weights, can be found in this file: Spain_weights_20120305.csv

Although I recommend a portfolio composition every month, it is desirable to maintain this composition for a quarter year, and then rebalance with the new composition.

The current long-only portfolio composition has changed respect to that of previous quarter: one stock has been sold (ACS). The turnover is 12% (due to the portfolio growth and the sale of one stock). On the other hand, the turnover of the current 130:30 portfolio is a bit larger: 21%.

Regarding the performance, over the last year (52 weeks), the long-only strategy attained a volatility of 23% (versus 29% of the IBEX35). The volatility of the 130:30 strategy is even better: 21%.

The weekly 95%-VaR of the long-only portfolio was 5.5% (versus 6.6% of the IBEX35). The corresponding VaR for the 130:30 portfolio was 5.7%.

The last year annualized Sharpe ratio of the long-only strategy was -0.17 (after proportional transaction costs of 40 bps were discounted). On the other hand, the SR of the 130:30 strategy was -0.34. Finally, the SR of the IBEX35 was -0.65 over the same period.

In the next figure, you can see the compounded return over the last 52 weeks of the three considered portfolios.

Both low-volatility portfolios attain better returns than those of the IBEX35.

But let add information about the risk. The next graph shows the risk-return space for the three considered portfolios.

The red point represents the mean return and volatility of the long-only portfolio over the past 52 weeks. On the other hand, the green point represents the 130:30 portfolio, and finally the blue point represents the IBEX35 index over the same 52 past weeks.

We can see the two low-volatility portfolios have better mean returns than that of the IBEX35, and also their volatilities are better. In this case, we say the low-vol portfolios dominate the index.

I have computed the same risk-return space for every week over the last year, using the same 52-weeks historical method to estimate the mean returns and the volatilities. The long-only and 130:30 portfolios attained almost always (96% of the time) a higher return than that of the IBEX35. Moreover, the volatility of both low-vol portfolios was always less than that of the IBEX35.

As a summary, the low-volatility strategies dominate the market index most of the time, showing they attain consistently better risk-adjusted returns.